ON ENRICHED CYCLIC ITERATED FUNCTION SYSTEMS

被引：0
|
作者：
Bisht, Ravindra K. [1 ]
机构：
[1] Natl Def Acad, Dept Math, Pune 411023, India
来源：
FIXED POINT THEORY | 2020年 / 25卷 / 02期
关键词：
Cyclic contraction; fractal; iterated function system;
D O I：
10.24193/fpt-ro.2024.2.03
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we consider a new class of generalized enriched cyclic contraction and establish a related fixed point theorem in the setting of a Banach space. As an application to the fractals, we develop a new iterated function system (IFS) consisting of enriched cyclic (b(n),phi(n)(t),beta n(t))- contractions.
引用
收藏
页码：495 / 506
页数：12
相关论文
共 50 条
  • [1] Cyclic iterated function systems
    Pasupathi, R.
    Chand, A. K. B.
    Navascues, M. A.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2020, 22 (03)
  • [2] Cyclic iterated function systems
    R. Pasupathi
    A. K. B. Chand
    M. A. Navascués
    Journal of Fixed Point Theory and Applications, 2020, 22
  • [3] Iterated Function Systems Enriched with Symmetry
    Krzysztof Leśniak
    Nina Snigireva
    Constructive Approximation, 2022, 56 : 555 - 575
  • [4] Iterated Function Systems Enriched with Symmetry
    Lesniak, Krzysztof
    Snigireva, Nina
    CONSTRUCTIVE APPROXIMATION, 2022, 56 (03) : 555 - 575
  • [5] Cyclic Multivalued Iterated Function Systems
    Pasupathi, R.
    Chand, A. K. B.
    Navascues, M. A.
    MATHEMATICS AND COMPUTING, ICMC 2022, 2022, 415 : 245 - 256
  • [6] Cyclic generalized iterated function systems
    Pasupathi, Rajan
    Chand, Arya Kumar Bedabrata
    Navascues, Maria Antonia
    Sebastian, Maria Victoria
    COMPUTATIONAL AND MATHEMATICAL METHODS, 2021, 3 (06)
  • [7] Contractive Iterated Function Systems Enriched with Nonexpansive Maps
    Filip Strobin
    Results in Mathematics, 2021, 76
  • [8] Contractive Iterated Function Systems Enriched with Nonexpansive Maps
    Strobin, Filip
    RESULTS IN MATHEMATICS, 2021, 76 (03)
  • [9] Generalized enriched cyclic contractions with application to generalized iterated function system
    Abbas, Mujahid
    Anjum, Rizwan
    Iqbal, Hira
    CHAOS SOLITONS & FRACTALS, 2022, 154
  • [10] Cyclic D/A converters based on iterated function systems
    Shimakawa, J
    Saito, T
    IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2004, E87A (10): : 2811 - 2814
12345